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Statement -I: f: A to B is one -one and ...

Statement -I: `f: A to B` is one -one and `g: B to C` is a one-one function, then `gof : A to C` is one-one
Statement-II: If `f: A to B, g : B to A` are two functions such that gof`=I_(A)` and `fog=I_(B)`, then `f=g^(-1)`.
Statement-III: `f(x) =sec^(2)x- tan^(2)x, g(x) ="cosec"^(2)x-cot^(2)x`, then f=g. Which of the above statements is/are true:

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